p$ -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES

We give proofs of de Rham comparison isomorphisms for rigid-analytic varieties, with coefficients and in families. This relies on the theory of perfectoid spaces. Another new ingredient is the pro-étale site, which makes all constructions completely functorial.

Saved in:
Bibliographic Details
Published inForum of mathematics. Pi Vol. 1
Main Author SCHOLZE, PETER
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 2013
Subjects
14C30 (primary)
14G20
14G22
32J27 (secondary)
Number Theory
14G20
14C30 (primary)
32J27 (secondary)
14G22
Online AccessGet full text
ISSN2050-5086
DOI10.1017/fmp.2013.1

Cover

More Information
Summary:We give proofs of de Rham comparison isomorphisms for rigid-analytic varieties, with coefficients and in families. This relies on the theory of perfectoid spaces. Another new ingredient is the pro-étale site, which makes all constructions completely functorial.
ISSN:2050-5086
DOI:10.1017/fmp.2013.1